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All results from a given calculation for C4 (Carbon tetramer)

using model chemistry: B3LYPultrafine/daug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 3Σg
2 1 yes D*H 1Σ

State 1 (3Σg)

Jump to S2C1
Energy calculated at B3LYPultrafine/daug-cc-pVTZ
 hartrees
Energy at 0K-152.146510
Energy at 298.15K 
HF Energy-152.146510
Nuclear repulsion energy63.602009
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYPultrafine/daug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 2119 2119 0.00 68.38 0.52 0.68
2 Σg 940 940 0.00 99.43 0.30 0.46
3 Σu 1593 1593 323.22 0.00 0.00 0.00
4 Πg 368 368 0.00 17.95 0.75 0.86
4 Πg 368 368 0.00 17.95 0.75 0.86
5 Πu 173 173 26.22 0.00 0.00 0.00
5 Πu 173 173 26.22 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2866.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2866.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYPultrafine/daug-cc-pVTZ
B
0.16690

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/daug-cc-pVTZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.643
C2 0.000 0.000 -0.643
C3 0.000 0.000 1.948
C4 0.000 0.000 -1.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28631.30492.5912
C21.28632.59121.3049
C31.30492.59123.8961
C42.59121.30493.8961

picture of Carbon tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 180.000 C2 C1 C3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.765      
2 C 0.765      
3 C -0.765      
4 C -0.765      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.166 0.000 0.000
y 0.000 -22.166 0.000
z 0.000 0.000 -33.638
Traceless
 xyz
x 5.736 0.000 0.000
y 0.000 5.736 0.000
z 0.000 0.000 -11.472
Polar
3z2-r2-22.945
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.801 0.000 0.000
y 0.000 4.801 0.000
z 0.000 0.000 13.653


<r2> (average value of r2) Å2
<r2> 66.736
(<r2>)1/2 8.169

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYPultrafine/daug-cc-pVTZ
 hartrees
Energy at 0K-152.118112
Energy at 298.15K 
HF Energy-152.118112
Nuclear repulsion energy63.513963
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYPultrafine/daug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 2123 2123 0.00 97.54 0.33 0.50
2 Σg 937 937 0.00 87.77 0.23 0.38
3 Σu 1600 1600 391.54 0.00 0.00 0.00
4 Πg 473 473 0.00 0.24 0.75 0.86
4 Πg 282 282 0.00 18.57 0.75 0.86
5 Πu 208 208 8.00 0.00 0.00 0.00
5 Πu 145 145 38.81 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2883.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2883.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYPultrafine/daug-cc-pVTZ
B
0.16642

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/daug-cc-pVTZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.645
C2 0.000 0.000 -0.645
C3 0.000 0.000 1.951
C4 0.000 0.000 -1.951

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28971.30572.5954
C21.28972.59541.3057
C31.30572.59543.9012
C42.59541.30573.9012

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.740      
2 C 0.740      
3 C -0.740      
4 C -0.740      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.518 0.000 0.000
y 0.000 -24.031 0.000
z 0.000 0.000 -33.465
Traceless
 xyz
x 8.229 0.000 0.000
y 0.000 2.960 0.000
z 0.000 0.000 -11.190
Polar
3z2-r2-22.380
x2-y23.513
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.670 0.000 0.000
y 0.000 4.610 0.000
z 0.000 0.000 13.288


<r2> (average value of r2) Å2
<r2> 66.889
(<r2>)1/2 8.179